On certain non-linear differential equations in complex domains
type: Item
instance of: scholarly article
title: On certain non-linear differential equations in complex domains
zbMATH Open document ID: 1163.34059
author: Bao Qin Li
published in: Archiv der Mathematik
publication date: 2009-01-30T00:00:00Z
review text: Let \(M\) be a field of functions meromorphic in the complex plane \(C\). Consider meromorphic solutions of the ordinary differential equation over \(M\) \[ a_1y^2+a_2 (y')^2 = a_3 \tag{1.} \] In the previous paper (see [Arch. Math. 82, No.~5, 442--448 (2004; Zbl 1052.34083)]) the author has proved that if such solutions exist, then the equation (1) is reduced to the equation \[ y^2+a^2 (y')^2 = 1 \tag{2.} \] The full description of all meromorphic solutions for the equation (2) is given in the paper .
reviewed by: Mykola Grygorenko
Mathematics Subject Classification ID: 34M05
zbMATH DE Number: 5500762
zbMATH Keywords: meromorphic solution
MaRDI profile type: Publication
full work available at URL: s00013-008-2648-2
OpenAlex ID: W2031741251
DOI: 10.1007/S00013-008-2648-2
description: scientific article; zbMATH DE number 5500762